If a + 1/a = 3, then (a4 + 1/a4) is equal to:
Show answer & explanation
Correct answer: C
Explanation
Correct answer is Option 3 i.e. 47
a2 + 1/a2 = (a + 1/a)2 – 2
a + 1/a = 3
⇒ a2 + 1/a2 = 32 – 2 = 7
⇒ a4 + 1/a4 = 72 – 2 = 47
SSC CGL - 6th June 2019 - Shift 3 • Quantitative Aptitude • Q75
If a + 1/a = 3, then (a4 + 1/a4) is equal to:
Correct answer: C
Explanation
Correct answer is Option 3 i.e. 47
a2 + 1/a2 = (a + 1/a)2 – 2
a + 1/a = 3
⇒ a2 + 1/a2 = 32 – 2 = 7
⇒ a4 + 1/a4 = 72 – 2 = 47